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Title: Spectra and magnetic properties of large spins in external fields

Abstract

Spectra and magnetic properties of large spins [ital J] (e.g., spins possessed by ions or molecules), placed into a crystal electric field (CEF) of an arbitrary symmetry point group, are shown to change drastically when [ital J] changes by 1/2 or 1. At a fixed field symmetry and configuration of its [ital N] extrema situated at the [ital p]-fold symmetry axis, physical characteristics of the spin depend periodically on [ital J] with the period equal to [ital p]. The problem of the spectrum and eigenstates of the large spin [ital J] is equivalent to an analogous problem for a scalar charged particle confined to a sphere S[sup 2] and placed into the magnetic field of the monopole with the charge [ital J]. This analogy, as well as the strong difference between close values of [ital J], stems from the Berry phase occurring in the problem. For energies close to the extrema of the CEF, the problem can be formulated as Harper[close quote]s equation on the sphere. The (2J+1)-dimensional space of states is split into smaller multiplets of classically degenerated states. These multiplets in turn are split into submultiplets of states transforming according to specific irreducible representations of the symmetry groupmore » determined by [ital J] and [ital p]. We classify possible configurations and corresponding spectra. Experimental realizations of large spins in a symmetric environment are proposed and physical effects observable in these systems are analyzed. [copyright] [ital 1999] [ital The American Physical Society]« less

Authors:
;  [1];  [2]
  1. (Department of Physics, Texas A M University, College Station, Texas 77843-4242 (United States))
  2. (Landau Institute for Theoretical Physics, Kosygin Street 2, Moscow 117940 (Russia))
Publication Date:
OSTI Identifier:
6273223
Alternate Identifier(s):
OSTI ID: 6273223
Resource Type:
Journal Article
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 60:3; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CRYSTAL FIELD; EIGENFUNCTIONS; EIGENVALUES; ELECTRIC FIELDS; MAGNETIC PROPERTIES; QUANTUM MECHANICS; SPECTRA; SPIN; ANGULAR MOMENTUM; FUNCTIONS; MECHANICS; PARTICLE PROPERTIES; PHYSICAL PROPERTIES 661100* -- Classical & Quantum Mechanics-- (1992-); 664200 -- Spectra of Atoms & Molecules & their Interactions with Photons-- (1992-); 665400 -- Quantum Physics Aspects of Condensed Matter-- (1992-)

Citation Formats

Kalatsky, V.A., Pokrovsky, V.L., and Pokrovsky, V.L. Spectra and magnetic properties of large spins in external fields. United States: N. p., 1999. Web. doi:10.1103/PhysRevA.60.1824.
Kalatsky, V.A., Pokrovsky, V.L., & Pokrovsky, V.L. Spectra and magnetic properties of large spins in external fields. United States. doi:10.1103/PhysRevA.60.1824.
Kalatsky, V.A., Pokrovsky, V.L., and Pokrovsky, V.L. Wed . "Spectra and magnetic properties of large spins in external fields". United States. doi:10.1103/PhysRevA.60.1824.
@article{osti_6273223,
title = {Spectra and magnetic properties of large spins in external fields},
author = {Kalatsky, V.A. and Pokrovsky, V.L. and Pokrovsky, V.L.},
abstractNote = {Spectra and magnetic properties of large spins [ital J] (e.g., spins possessed by ions or molecules), placed into a crystal electric field (CEF) of an arbitrary symmetry point group, are shown to change drastically when [ital J] changes by 1/2 or 1. At a fixed field symmetry and configuration of its [ital N] extrema situated at the [ital p]-fold symmetry axis, physical characteristics of the spin depend periodically on [ital J] with the period equal to [ital p]. The problem of the spectrum and eigenstates of the large spin [ital J] is equivalent to an analogous problem for a scalar charged particle confined to a sphere S[sup 2] and placed into the magnetic field of the monopole with the charge [ital J]. This analogy, as well as the strong difference between close values of [ital J], stems from the Berry phase occurring in the problem. For energies close to the extrema of the CEF, the problem can be formulated as Harper[close quote]s equation on the sphere. The (2J+1)-dimensional space of states is split into smaller multiplets of classically degenerated states. These multiplets in turn are split into submultiplets of states transforming according to specific irreducible representations of the symmetry group determined by [ital J] and [ital p]. We classify possible configurations and corresponding spectra. Experimental realizations of large spins in a symmetric environment are proposed and physical effects observable in these systems are analyzed. [copyright] [ital 1999] [ital The American Physical Society]},
doi = {10.1103/PhysRevA.60.1824},
journal = {Physical Review A},
issn = {1050-2947},
number = ,
volume = 60:3,
place = {United States},
year = {1999},
month = {9}
}